ATLAS: Alternating group A15

Order = 653837184000
Mult = 2.
Out = 2.

Standard generators

Standard generators of A15 are a in class 3A, b of order 13 such that ab has order 15 and abb has order 15. In the natural representation we may take a = (1, 2, 3) and b = (3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15).

Standard generators of S15 are c in class 2D, d in class 14E such that cd has order 15. In the natural representation we may take c = (1, 2) and d = (2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15).


Black box algorithms

To find standard generators for A15: To find standard generators for S15:

Representations

The representations of A15 available are: The representations of S15 available are:
Main ATLAS page Go to main ATLAS (version 2.0) page.
Alternating groups page Go to alternating groups page.
ftp access Anonymous ftp access is also available on sylow.mat.bham.ac.uk.

Version 2.0 created on 17th February 2004.
Last updated 18.02.04 by SN.